Trajectory tracking and disturbance rejection control of random linear systems

被引：3
作者：
Wang, Shitong [1 ]
Wu, Zhaojing [2 ]
Wu, Zheng-Guang [1 ,3 ]
机构：
[1] Zhejiang Univ, Inst Cyber Syst & Control, Hangzhou 310027, Zhejiang, Peoples R China
[2] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Shandong, Peoples R China
[3] Chengdu Univ, Inst Adv Study, Chengdu 610106, Sichuan, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2022年 / 359卷 / 09期
关键词：
INTERNAL-MODEL CONTROL; NONLINEAR-SYSTEMS; PRINCIPLE; DESIGN;
D O I：
10.1016/j.jfranklin.2022.03.032
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A more general trajectory tracking and disturbance rejection problem for the random linear system is considered in this paper. The known structural properties of the reference and the disturbance signals motivate us to use the internal model principle, and the motion decomposition for the linear systems prompts us to utilize the superposition principle. Combining the spectral analysis method with the pole assignment algorithm, the stability and tracking property can be obtained. The simulation result demonstrates that all the closed-loop system is exponentially practically stable in the mean square (EpS-2-M), the tracking error can be regulated to an arbitrarily small constant by turning the parameters. (C) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：4433 / 4448
页数：16
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